FACTORIZATION WITH GENUS 2 CURVES

Romain COSSET

Paper 2009/258

FACTORIZATION WITH GENUS 2 CURVES

Romain COSSET

Abstract

The elliptic curve method (ECM) is one of the best factorization methods available. It is possible to use hyperelliptic curves instead of elliptic curves but it is in theory slower. We use special hyperelliptic curves and Kummer surfaces to reduce the complexity of the algorithm. Our implementation GMP-HECM is faster than GMP-ECM for factoring big numbers.

Metadata

Available format(s): PDF PS
Category: Foundations
Publication info: Published elsewhere. Unknown where it was published
Keywords: factoring
Contact author(s): romain cosset @ loria fr
History: 2009-06-01: received
Short URL: https://ia.cr/2009/258
License: CC BY

BibTeX

@misc{cryptoeprint:2009/258,
      author = {Romain COSSET},
      title = {{FACTORIZATION} {WITH} {GENUS} 2 {CURVES}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2009/258},
      year = {2009},
      url = {https://eprint.iacr.org/2009/258}
}